2003/05/16 by Junegone Chay, Chul Kim · 38 citations
Physics and Astronomy · #Amplitude #Annihilation #Black Holes and Theoretical Physics #Effective field theory #Lambda #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Radiative transfer #hep-ph
paper · pdf · doi:10.1103/physrevd.68.034013
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(3) (American Physical Society) · v2: 31 pages, 11 figures. An appendix is added about the quark mass effects on radiative B decays
arxiv created 2003/05/16 · openalex publication_date 2003/08/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider rare radiative B decays such as B\ensuremath→K*\ensuremathγ or B\ensuremath→\ensuremathρ\ensuremathγ in soft-collinear effective theory (SCET) and show that the decay amplitudes are factorized to all orders in \ensuremathαs and at leading order in \ensuremathΛQCD/mb. By employing two-step matching, we classify the operators for radiative B decays in powers of a small parameter \ensuremathλ(\ensuremath∼√\ensuremathΛQCD/mb) and obtain the relevant operators to order \ensuremathλ in SCETI. These operators are constructed with or without spectator quarks including the four-quark operators contributing to annihilation and W-exchange channels. And we employ SCETII where the small parameter becomes of order \ensuremathΛQCD/mb, and evolve the operators in order to compute the decay amplitudes for rare radiative decays in soft-collinear effective theory. We show explicitly that the contributions from the annihilation channels and the W-exchange channels vanish at leading order in SCET. We present the factorized result for the decay amplitudes in rare radiative B decays at leading order in SCET and at next-to-leading order in \ensuremathαs.